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Finding the Third Proportional to 206,763,024 and 320,114,664

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Solution

The third proportional to 206,763,024 and 320,114,664 is: 495,607,948.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,763,024 : 320,114,664 = 320,114,664 : x
  2. Step 2: Convert to fraction form
    206,763,024/320,114,664 = 320,114,664/x
  3. Step 3: Cross multiply
    206,763,024x = 320,114,664 × 320,114,664
  4. Step 4: Simplify right side
    206,763,024x = 102,473,398,107,832,896
  5. Step 5: Solve for x
    x = 102,473,398,107,832,896/206,763,024
  6. Step 6: Final answer
    x = 495,607,948.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.